Model of the Decay <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow><mi>γ</mi><mi>γ</mi></math></span> and a Unitarity Constraint on the Decay Rate

L. M. Sehgal

doi:10.1103/PhysRevD.6.367

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Model of the Decay $K_{2} \to π^{0} γ γ$ and a Unitarity Constraint on the Decay Rate

L. M. Sehgal

III. Physikalisches Institut, Technische Hochschule, Aachen, Germany

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Phys. Rev. D 6, 367 – Published 1 July, 1972

DOI: https://doi.org/10.1103/PhysRevD.6.367

Abstract

A model is presented for the decay $K_{2} \to π^{0} γ γ$ , in which the amplitude is determined in terms of the amplitude for $K_{2} \to π^{+} π^{-} π^{0}$ . The decay rate is found to be 13 $\sec^{- 1}$ . Using unitarity, a model-independent lower bound is obtained on the spectrum and decay rate of this reaction in the kinematical region $s > M^{2} - 7 μ^{2}$ , where $s$ is the invariant mass squared of the photon pair and $M$ and $μ$ are the kaon and pion masses.

References (10)

D. G. Sutherland, in K Decay: Proceedings of the Daresbury Study Weekend, 1971, edited by A. Donnachie and D. G. Sutherland (unpublished)
B. R. Desai, Phys. Rev. 124, 1248 (1961)
S. Oneda, Phys. Rev. 158, 1541 (1967) G. Fäldt, B. Petersson, and H. Pilkuhn, Nucl. Phys. B3, 234 (1967)
G. Oppo and S. Oneda, Phys. Rev. 160, 1397 (1967)
C. Itzykson, M. Jacob, and G. Mahoux, Suppl. Nuovo Cimento 5, 978 (1967)
K. Nishijima, Fields and Particles (Benjamin, New York, 1969), p. 350
[6], p. 356 B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D 2, 179 (1970)
Martin, de Rafael, and Smith, [7]
A. della Selva, A. D. Rujula, and M. Mateev, Phys. Letters 24B, 468 (1967) R. E. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1968), p. 674
M. G. Albrow et al., Phys. Letters 33B, 516 (1970)

[c1] D. G. Sutherland, in K Decay: Proceedings of the Daresbury Study Weekend, 1971, edited by A. Donnachie and D. G. Sutherland (unpublished)

[c2] B. R. Desai, Phys. Rev. 124, 1248 (1961)

[c3] S. Oneda, Phys. Rev. 158, 1541 (1967) G. Fäldt, B. Petersson, and H. Pilkuhn, Nucl. Phys. B3, 234 (1967)

[c4] G. Oppo and S. Oneda, Phys. Rev. 160, 1397 (1967)

[c5] C. Itzykson, M. Jacob, and G. Mahoux, Suppl. Nuovo Cimento 5, 978 (1967)

[c6] K. Nishijima, Fields and Particles (Benjamin, New York, 1969), p. 350

[c7] [6], p. 356 B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D 2, 179 (1970)

[c8] Martin, de Rafael, and Smith, [7]

[c9] A. della Selva, A. D. Rujula, and M. Mateev, Phys. Letters 24B, 468 (1967) R. E. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1968), p. 674

[c10] M. G. Albrow et al., Phys. Letters 33B, 516 (1970)

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Model of the Decay $K_{2} \to π^{0} γ γ$ and a Unitarity Constraint on the Decay Rate

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Model of the Decay K2→π0γγ and a Unitarity Constraint on the Decay Rate

Abstract

References (10)

Model of the Decay $K_{2} \to π^{0} γ γ$ and a Unitarity Constraint on the Decay Rate